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Finding the Fourth Proportional to 30,582, 42,203.80 and 17,334

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Solution

The fourth proportional to 30,582, 42,203.80 and 17,334 is: 23,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582 : 42,203.80 = 17,334 : x
  2. Step 2: Convert to fraction form
    30,582/42,203.80 = 17,334/x
  3. Step 3: Cross multiply
    30,582x = 42,203.80 × 17,334
  4. Step 4: Simplify right side
    30,582x = 731,560,669.20
  5. Step 5: Solve for x
    x = 731,560,669.20/30,582
  6. Step 6: Final answer
    x = 23,921.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.